00:01
Here we are told that the mean time to failure is 100 ,000 hours, and that the time to failure is exponentially distributed.
00:11
So what is the failure rate lambda per year? now the failure rate is 1 over the mean for an exponential random variable.
00:24
So that's 1 per 100 ,000 hours.
00:30
The number of hours in a year is 24 hours per day, and assuming the year is 365 days.
00:38
This is 8 ,760 hours per year.
00:49
Now our rate is already per hour.
00:55
So if we multiply our rate by 8 ,760, we will have the rate per year.
01:17
And that is 0 .0876.
01:34
So that was the first question.
01:36
And then the second question, we are told that there is a mean time to failure.
01:41
That is 135 ,000 hours.
01:54
And also the time to failure is, is exponentially distributed...